Character table for the D58h point group

D58h     E        2 C58    2 C29    2 C58^3  2 C29^2  2 C58^5  2 C29^3  2 C58^7  2 C29^4  2 C58^9  2 C29^5  2 C58^11 2 C29^6  2 C58^13 2 C29^7  2 C58^15 2 C29^8  2 C58^17 2 C29^9  2 C58^19 2 C29^10 2 C58^21 2 C29^11 2 C58^23 2 C29^12 2 C58^25 2 C29^13 2 C58^27 2 C29^14 C2       29 C2'   29 C2"   i        2 S58    2 S29    2 S58^3  2 S29^2  2 S58^5  2 S29^3  2 S58^7  2 S29^4  2 S58^9  2 S29^5  2 S58^11 2 S29^6  2 S58^13 2 S29^7  2 S58^15 2 S29^8  2 S58^17 2 S29^9  2 S58^19 2 S29^10 2 S58^21 2 S29^11 2 S58^23 2 S29^12 2 S58^25 2 S29^13 2 S58^27 2 S29^14 sh       29 sv    29 sd      <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A1g     1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000     ... ... ....T ....... ........T ........... ............T
A2g     1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000     ..T ... ..... ....... ......... ........... .............
B1g     1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000 -1.00000 -1.00000  1.00000     ... ... ..... ....... ......... ........... .............
B2g     1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000 -1.00000  1.00000  1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000 -1.00000  1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
E1g     2.00000  1.98828  1.95324  1.89531  1.81515  1.71371  1.59219  1.45199  1.29477  1.12237  0.93682  0.74028  0.53506  0.32356  0.10828 -0.10828 -0.32356 -0.53506 -0.74028 -0.93682 -1.12237 -1.29477 -1.45199 -1.59219 -1.71371 -1.81515 -1.89531 -1.95324 -1.98828 -2.00000  0.00000  0.00000  2.00000 -1.98828 -1.95324 -1.89531 -1.81515 -1.71371 -1.59219 -1.45199 -1.29477 -1.12237 -0.93682 -0.74028 -0.53506 -0.32356 -0.10828  0.10828  0.32356  0.53506  0.74028  0.93682  1.12237  1.29477  1.45199  1.59219  1.71371  1.81515  1.89531  1.95324  1.98828 -2.00000  0.00000  0.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.
E2g     2.00000  1.95324  1.81515  1.59219  1.29477  0.93682  0.53506  0.10828 -0.32356 -0.74028 -1.12237 -1.45199 -1.71371 -1.89531 -1.98828 -1.98828 -1.89531 -1.71371 -1.45199 -1.12237 -0.74028 -0.32356  0.10828  0.53506  0.93682  1.29477  1.59219  1.81515  1.95324  2.00000  0.00000  0.00000  2.00000  1.95324  1.81515  1.59219  1.29477  0.93682  0.53506  0.10828 -0.32356 -0.74028 -1.12237 -1.45199 -1.71371 -1.89531 -1.98828 -1.98828 -1.89531 -1.71371 -1.45199 -1.12237 -0.74028 -0.32356  0.10828  0.53506  0.93682  1.29477  1.59219  1.81515  1.95324  2.00000  0.00000  0.00000     ... ... TT... ....... ....TT... ........... ........TT...
E3g     2.00000  1.89531  1.59219  1.12237  0.53506 -0.10828 -0.74028 -1.29477 -1.71371 -1.95324 -1.98828 -1.81515 -1.45199 -0.93682 -0.32356  0.32356  0.93682  1.45199  1.81515  1.98828  1.95324  1.71371  1.29477  0.74028  0.10828 -0.53506 -1.12237 -1.59219 -1.89531 -2.00000  0.00000  0.00000  2.00000 -1.89531 -1.59219 -1.12237 -0.53506  0.10828  0.74028  1.29477  1.71371  1.95324  1.98828  1.81515  1.45199  0.93682  0.32356 -0.32356 -0.93682 -1.45199 -1.81515 -1.98828 -1.95324 -1.71371 -1.29477 -0.74028 -0.10828  0.53506  1.12237  1.59219  1.89531 -2.00000  0.00000  0.00000     ... ... ..... ....... ..TT..... ........... ......TT.....
E4g     2.00000  1.81515  1.29477  0.53506 -0.32356 -1.12237 -1.71371 -1.98828 -1.89531 -1.45199 -0.74028  0.10828  0.93682  1.59219  1.95324  1.95324  1.59219  0.93682  0.10828 -0.74028 -1.45199 -1.89531 -1.98828 -1.71371 -1.12237 -0.32356  0.53506  1.29477  1.81515  2.00000  0.00000  0.00000  2.00000  1.81515  1.29477  0.53506 -0.32356 -1.12237 -1.71371 -1.98828 -1.89531 -1.45199 -0.74028  0.10828  0.93682  1.59219  1.95324  1.95324  1.59219  0.93682  0.10828 -0.74028 -1.45199 -1.89531 -1.98828 -1.71371 -1.12237 -0.32356  0.53506  1.29477  1.81515  2.00000  0.00000  0.00000     ... ... ..... ....... TT....... ........... ....TT.......
E5g     2.00000  1.71371  0.93682 -0.10828 -1.12237 -1.81515 -1.98828 -1.59219 -0.74028  0.32356  1.29477  1.89531  1.95324  1.45199  0.53506 -0.53506 -1.45199 -1.95324 -1.89531 -1.29477 -0.32356  0.74028  1.59219  1.98828  1.81515  1.12237  0.10828 -0.93682 -1.71371 -2.00000  0.00000  0.00000  2.00000 -1.71371 -0.93682  0.10828  1.12237  1.81515  1.98828  1.59219  0.74028 -0.32356 -1.29477 -1.89531 -1.95324 -1.45199 -0.53506  0.53506  1.45199  1.95324  1.89531  1.29477  0.32356 -0.74028 -1.59219 -1.98828 -1.81515 -1.12237 -0.10828  0.93682  1.71371 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... ..TT.........
E6g     2.00000  1.59219  0.53506 -0.74028 -1.71371 -1.98828 -1.45199 -0.32356  0.93682  1.81515  1.95324  1.29477  0.10828 -1.12237 -1.89531 -1.89531 -1.12237  0.10828  1.29477  1.95324  1.81515  0.93682 -0.32356 -1.45199 -1.98828 -1.71371 -0.74028  0.53506  1.59219  2.00000  0.00000  0.00000  2.00000  1.59219  0.53506 -0.74028 -1.71371 -1.98828 -1.45199 -0.32356  0.93682  1.81515  1.95324  1.29477  0.10828 -1.12237 -1.89531 -1.89531 -1.12237  0.10828  1.29477  1.95324  1.81515  0.93682 -0.32356 -1.45199 -1.98828 -1.71371 -0.74028  0.53506  1.59219  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... TT...........
E7g     2.00000  1.45199  0.10828 -1.29477 -1.98828 -1.59219 -0.32356  1.12237  1.95324  1.71371  0.53506 -0.93682 -1.89531 -1.81515 -0.74028  0.74028  1.81515  1.89531  0.93682 -0.53506 -1.71371 -1.95324 -1.12237  0.32356  1.59219  1.98828  1.29477 -0.10828 -1.45199 -2.00000  0.00000  0.00000  2.00000 -1.45199 -0.10828  1.29477  1.98828  1.59219  0.32356 -1.12237 -1.95324 -1.71371 -0.53506  0.93682  1.89531  1.81515  0.74028 -0.74028 -1.81515 -1.89531 -0.93682  0.53506  1.71371  1.95324  1.12237 -0.32356 -1.59219 -1.98828 -1.29477  0.10828  1.45199 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E8g     2.00000  1.29477 -0.32356 -1.71371 -1.89531 -0.74028  0.93682  1.95324  1.59219  0.10828 -1.45199 -1.98828 -1.12237  0.53506  1.81515  1.81515  0.53506 -1.12237 -1.98828 -1.45199  0.10828  1.59219  1.95324  0.93682 -0.74028 -1.89531 -1.71371 -0.32356  1.29477  2.00000  0.00000  0.00000  2.00000  1.29477 -0.32356 -1.71371 -1.89531 -0.74028  0.93682  1.95324  1.59219  0.10828 -1.45199 -1.98828 -1.12237  0.53506  1.81515  1.81515  0.53506 -1.12237 -1.98828 -1.45199  0.10828  1.59219  1.95324  0.93682 -0.74028 -1.89531 -1.71371 -0.32356  1.29477  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E9g     2.00000  1.12237 -0.74028 -1.95324 -1.45199  0.32356  1.81515  1.71371  0.10828 -1.59219 -1.89531 -0.53506  1.29477  1.98828  0.93682 -0.93682 -1.98828 -1.29477  0.53506  1.89531  1.59219 -0.10828 -1.71371 -1.81515 -0.32356  1.45199  1.95324  0.74028 -1.12237 -2.00000  0.00000  0.00000  2.00000 -1.12237  0.74028  1.95324  1.45199 -0.32356 -1.81515 -1.71371 -0.10828  1.59219  1.89531  0.53506 -1.29477 -1.98828 -0.93682  0.93682  1.98828  1.29477 -0.53506 -1.89531 -1.59219  0.10828  1.71371  1.81515  0.32356 -1.45199 -1.95324 -0.74028  1.12237 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E10g    2.00000  0.93682 -1.12237 -1.98828 -0.74028  1.29477  1.95324  0.53506 -1.45199 -1.89531 -0.32356  1.59219  1.81515  0.10828 -1.71371 -1.71371  0.10828  1.81515  1.59219 -0.32356 -1.89531 -1.45199  0.53506  1.95324  1.29477 -0.74028 -1.98828 -1.12237  0.93682  2.00000  0.00000  0.00000  2.00000  0.93682 -1.12237 -1.98828 -0.74028  1.29477  1.95324  0.53506 -1.45199 -1.89531 -0.32356  1.59219  1.81515  0.10828 -1.71371 -1.71371  0.10828  1.81515  1.59219 -0.32356 -1.89531 -1.45199  0.53506  1.95324  1.29477 -0.74028 -1.98828 -1.12237  0.93682  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E11g    2.00000  0.74028 -1.45199 -1.81515  0.10828  1.89531  1.29477 -0.93682 -1.98828 -0.53506  1.59219  1.71371 -0.32356 -1.95324 -1.12237  1.12237  1.95324  0.32356 -1.71371 -1.59219  0.53506  1.98828  0.93682 -1.29477 -1.89531 -0.10828  1.81515  1.45199 -0.74028 -2.00000  0.00000  0.00000  2.00000 -0.74028  1.45199  1.81515 -0.10828 -1.89531 -1.29477  0.93682  1.98828  0.53506 -1.59219 -1.71371  0.32356  1.95324  1.12237 -1.12237 -1.95324 -0.32356  1.71371  1.59219 -0.53506 -1.98828 -0.93682  1.29477  1.89531  0.10828 -1.81515 -1.45199  0.74028 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E12g    2.00000  0.53506 -1.71371 -1.45199  0.93682  1.95324  0.10828 -1.89531 -1.12237  1.29477  1.81515 -0.32356 -1.98828 -0.74028  1.59219  1.59219 -0.74028 -1.98828 -0.32356  1.81515  1.29477 -1.12237 -1.89531  0.10828  1.95324  0.93682 -1.45199 -1.71371  0.53506  2.00000  0.00000  0.00000  2.00000  0.53506 -1.71371 -1.45199  0.93682  1.95324  0.10828 -1.89531 -1.12237  1.29477  1.81515 -0.32356 -1.98828 -0.74028  1.59219  1.59219 -0.74028 -1.98828 -0.32356  1.81515  1.29477 -1.12237 -1.89531  0.10828  1.95324  0.93682 -1.45199 -1.71371  0.53506  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E13g    2.00000  0.32356 -1.89531 -0.93682  1.59219  1.45199 -1.12237 -1.81515  0.53506  1.98828  0.10828 -1.95324 -0.74028  1.71371  1.29477 -1.29477 -1.71371  0.74028  1.95324 -0.10828 -1.98828 -0.53506  1.81515  1.12237 -1.45199 -1.59219  0.93682  1.89531 -0.32356 -2.00000  0.00000  0.00000  2.00000 -0.32356  1.89531  0.93682 -1.59219 -1.45199  1.12237  1.81515 -0.53506 -1.98828 -0.10828  1.95324  0.74028 -1.71371 -1.29477  1.29477  1.71371 -0.74028 -1.95324  0.10828  1.98828  0.53506 -1.81515 -1.12237  1.45199  1.59219 -0.93682 -1.89531  0.32356 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E14g    2.00000  0.10828 -1.98828 -0.32356  1.95324  0.53506 -1.89531 -0.74028  1.81515  0.93682 -1.71371 -1.12237  1.59219  1.29477 -1.45199 -1.45199  1.29477  1.59219 -1.12237 -1.71371  0.93682  1.81515 -0.74028 -1.89531  0.53506  1.95324 -0.32356 -1.98828  0.10828  2.00000  0.00000  0.00000  2.00000  0.10828 -1.98828 -0.32356  1.95324  0.53506 -1.89531 -0.74028  1.81515  0.93682 -1.71371 -1.12237  1.59219  1.29477 -1.45199 -1.45199  1.29477  1.59219 -1.12237 -1.71371  0.93682  1.81515 -0.74028 -1.89531  0.53506  1.95324 -0.32356 -1.98828  0.10828  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E15g    2.00000 -0.10828 -1.98828  0.32356  1.95324 -0.53506 -1.89531  0.74028  1.81515 -0.93682 -1.71371  1.12237  1.59219 -1.29477 -1.45199  1.45199  1.29477 -1.59219 -1.12237  1.71371  0.93682 -1.81515 -0.74028  1.89531  0.53506 -1.95324 -0.32356  1.98828  0.10828 -2.00000  0.00000  0.00000  2.00000  0.10828  1.98828 -0.32356 -1.95324  0.53506  1.89531 -0.74028 -1.81515  0.93682  1.71371 -1.12237 -1.59219  1.29477  1.45199 -1.45199 -1.29477  1.59219  1.12237 -1.71371 -0.93682  1.81515  0.74028 -1.89531 -0.53506  1.95324  0.32356 -1.98828 -0.10828 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E16g    2.00000 -0.32356 -1.89531  0.93682  1.59219 -1.45199 -1.12237  1.81515  0.53506 -1.98828  0.10828  1.95324 -0.74028 -1.71371  1.29477  1.29477 -1.71371 -0.74028  1.95324  0.10828 -1.98828  0.53506  1.81515 -1.12237 -1.45199  1.59219  0.93682 -1.89531 -0.32356  2.00000  0.00000  0.00000  2.00000 -0.32356 -1.89531  0.93682  1.59219 -1.45199 -1.12237  1.81515  0.53506 -1.98828  0.10828  1.95324 -0.74028 -1.71371  1.29477  1.29477 -1.71371 -0.74028  1.95324  0.10828 -1.98828  0.53506  1.81515 -1.12237 -1.45199  1.59219  0.93682 -1.89531 -0.32356  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E17g    2.00000 -0.53506 -1.71371  1.45199  0.93682 -1.95324  0.10828  1.89531 -1.12237 -1.29477  1.81515  0.32356 -1.98828  0.74028  1.59219 -1.59219 -0.74028  1.98828 -0.32356 -1.81515  1.29477  1.12237 -1.89531 -0.10828  1.95324 -0.93682 -1.45199  1.71371  0.53506 -2.00000  0.00000  0.00000  2.00000  0.53506  1.71371 -1.45199 -0.93682  1.95324 -0.10828 -1.89531  1.12237  1.29477 -1.81515 -0.32356  1.98828 -0.74028 -1.59219  1.59219  0.74028 -1.98828  0.32356  1.81515 -1.29477 -1.12237  1.89531  0.10828 -1.95324  0.93682  1.45199 -1.71371 -0.53506 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E18g    2.00000 -0.74028 -1.45199  1.81515  0.10828 -1.89531  1.29477  0.93682 -1.98828  0.53506  1.59219 -1.71371 -0.32356  1.95324 -1.12237 -1.12237  1.95324 -0.32356 -1.71371  1.59219  0.53506 -1.98828  0.93682  1.29477 -1.89531  0.10828  1.81515 -1.45199 -0.74028  2.00000  0.00000  0.00000  2.00000 -0.74028 -1.45199  1.81515  0.10828 -1.89531  1.29477  0.93682 -1.98828  0.53506  1.59219 -1.71371 -0.32356  1.95324 -1.12237 -1.12237  1.95324 -0.32356 -1.71371  1.59219  0.53506 -1.98828  0.93682  1.29477 -1.89531  0.10828  1.81515 -1.45199 -0.74028  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E19g    2.00000 -0.93682 -1.12237  1.98828 -0.74028 -1.29477  1.95324 -0.53506 -1.45199  1.89531 -0.32356 -1.59219  1.81515 -0.10828 -1.71371  1.71371  0.10828 -1.81515  1.59219  0.32356 -1.89531  1.45199  0.53506 -1.95324  1.29477  0.74028 -1.98828  1.12237  0.93682 -2.00000  0.00000  0.00000  2.00000  0.93682  1.12237 -1.98828  0.74028  1.29477 -1.95324  0.53506  1.45199 -1.89531  0.32356  1.59219 -1.81515  0.10828  1.71371 -1.71371 -0.10828  1.81515 -1.59219 -0.32356  1.89531 -1.45199 -0.53506  1.95324 -1.29477 -0.74028  1.98828 -1.12237 -0.93682 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E20g    2.00000 -1.12237 -0.74028  1.95324 -1.45199 -0.32356  1.81515 -1.71371  0.10828  1.59219 -1.89531  0.53506  1.29477 -1.98828  0.93682  0.93682 -1.98828  1.29477  0.53506 -1.89531  1.59219  0.10828 -1.71371  1.81515 -0.32356 -1.45199  1.95324 -0.74028 -1.12237  2.00000  0.00000  0.00000  2.00000 -1.12237 -0.74028  1.95324 -1.45199 -0.32356  1.81515 -1.71371  0.10828  1.59219 -1.89531  0.53506  1.29477 -1.98828  0.93682  0.93682 -1.98828  1.29477  0.53506 -1.89531  1.59219  0.10828 -1.71371  1.81515 -0.32356 -1.45199  1.95324 -0.74028 -1.12237  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E21g    2.00000 -1.29477 -0.32356  1.71371 -1.89531  0.74028  0.93682 -1.95324  1.59219 -0.10828 -1.45199  1.98828 -1.12237 -0.53506  1.81515 -1.81515  0.53506  1.12237 -1.98828  1.45199  0.10828 -1.59219  1.95324 -0.93682 -0.74028  1.89531 -1.71371  0.32356  1.29477 -2.00000  0.00000  0.00000  2.00000  1.29477  0.32356 -1.71371  1.89531 -0.74028 -0.93682  1.95324 -1.59219  0.10828  1.45199 -1.98828  1.12237  0.53506 -1.81515  1.81515 -0.53506 -1.12237  1.98828 -1.45199 -0.10828  1.59219 -1.95324  0.93682  0.74028 -1.89531  1.71371 -0.32356 -1.29477 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E22g    2.00000 -1.45199  0.10828  1.29477 -1.98828  1.59219 -0.32356 -1.12237  1.95324 -1.71371  0.53506  0.93682 -1.89531  1.81515 -0.74028 -0.74028  1.81515 -1.89531  0.93682  0.53506 -1.71371  1.95324 -1.12237 -0.32356  1.59219 -1.98828  1.29477  0.10828 -1.45199  2.00000  0.00000  0.00000  2.00000 -1.45199  0.10828  1.29477 -1.98828  1.59219 -0.32356 -1.12237  1.95324 -1.71371  0.53506  0.93682 -1.89531  1.81515 -0.74028 -0.74028  1.81515 -1.89531  0.93682  0.53506 -1.71371  1.95324 -1.12237 -0.32356  1.59219 -1.98828  1.29477  0.10828 -1.45199  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E23g    2.00000 -1.59219  0.53506  0.74028 -1.71371  1.98828 -1.45199  0.32356  0.93682 -1.81515  1.95324 -1.29477  0.10828  1.12237 -1.89531  1.89531 -1.12237 -0.10828  1.29477 -1.95324  1.81515 -0.93682 -0.32356  1.45199 -1.98828  1.71371 -0.74028 -0.53506  1.59219 -2.00000  0.00000  0.00000  2.00000  1.59219 -0.53506 -0.74028  1.71371 -1.98828  1.45199 -0.32356 -0.93682  1.81515 -1.95324  1.29477 -0.10828 -1.12237  1.89531 -1.89531  1.12237  0.10828 -1.29477  1.95324 -1.81515  0.93682  0.32356 -1.45199  1.98828 -1.71371  0.74028  0.53506 -1.59219 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E24g    2.00000 -1.71371  0.93682  0.10828 -1.12237  1.81515 -1.98828  1.59219 -0.74028 -0.32356  1.29477 -1.89531  1.95324 -1.45199  0.53506  0.53506 -1.45199  1.95324 -1.89531  1.29477 -0.32356 -0.74028  1.59219 -1.98828  1.81515 -1.12237  0.10828  0.93682 -1.71371  2.00000  0.00000  0.00000  2.00000 -1.71371  0.93682  0.10828 -1.12237  1.81515 -1.98828  1.59219 -0.74028 -0.32356  1.29477 -1.89531  1.95324 -1.45199  0.53506  0.53506 -1.45199  1.95324 -1.89531  1.29477 -0.32356 -0.74028  1.59219 -1.98828  1.81515 -1.12237  0.10828  0.93682 -1.71371  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E25g    2.00000 -1.81515  1.29477 -0.53506 -0.32356  1.12237 -1.71371  1.98828 -1.89531  1.45199 -0.74028 -0.10828  0.93682 -1.59219  1.95324 -1.95324  1.59219 -0.93682  0.10828  0.74028 -1.45199  1.89531 -1.98828  1.71371 -1.12237  0.32356  0.53506 -1.29477  1.81515 -2.00000  0.00000  0.00000  2.00000  1.81515 -1.29477  0.53506  0.32356 -1.12237  1.71371 -1.98828  1.89531 -1.45199  0.74028  0.10828 -0.93682  1.59219 -1.95324  1.95324 -1.59219  0.93682 -0.10828 -0.74028  1.45199 -1.89531  1.98828 -1.71371  1.12237 -0.32356 -0.53506  1.29477 -1.81515 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E26g    2.00000 -1.89531  1.59219 -1.12237  0.53506  0.10828 -0.74028  1.29477 -1.71371  1.95324 -1.98828  1.81515 -1.45199  0.93682 -0.32356 -0.32356  0.93682 -1.45199  1.81515 -1.98828  1.95324 -1.71371  1.29477 -0.74028  0.10828  0.53506 -1.12237  1.59219 -1.89531  2.00000  0.00000  0.00000  2.00000 -1.89531  1.59219 -1.12237  0.53506  0.10828 -0.74028  1.29477 -1.71371  1.95324 -1.98828  1.81515 -1.45199  0.93682 -0.32356 -0.32356  0.93682 -1.45199  1.81515 -1.98828  1.95324 -1.71371  1.29477 -0.74028  0.10828  0.53506 -1.12237  1.59219 -1.89531  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E27g    2.00000 -1.95324  1.81515 -1.59219  1.29477 -0.93682  0.53506 -0.10828 -0.32356  0.74028 -1.12237  1.45199 -1.71371  1.89531 -1.98828  1.98828 -1.89531  1.71371 -1.45199  1.12237 -0.74028  0.32356  0.10828 -0.53506  0.93682 -1.29477  1.59219 -1.81515  1.95324 -2.00000  0.00000  0.00000  2.00000  1.95324 -1.81515  1.59219 -1.29477  0.93682 -0.53506  0.10828  0.32356 -0.74028  1.12237 -1.45199  1.71371 -1.89531  1.98828 -1.98828  1.89531 -1.71371  1.45199 -1.12237  0.74028 -0.32356 -0.10828  0.53506 -0.93682  1.29477 -1.59219  1.81515 -1.95324 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E28g    2.00000 -1.98828  1.95324 -1.89531  1.81515 -1.71371  1.59219 -1.45199  1.29477 -1.12237  0.93682 -0.74028  0.53506 -0.32356  0.10828  0.10828 -0.32356  0.53506 -0.74028  0.93682 -1.12237  1.29477 -1.45199  1.59219 -1.71371  1.81515 -1.89531  1.95324 -1.98828  2.00000  0.00000  0.00000  2.00000 -1.98828  1.95324 -1.89531  1.81515 -1.71371  1.59219 -1.45199  1.29477 -1.12237  0.93682 -0.74028  0.53506 -0.32356  0.10828  0.10828 -0.32356  0.53506 -0.74028  0.93682 -1.12237  1.29477 -1.45199  1.59219 -1.71371  1.81515 -1.89531  1.95324 -1.98828  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
A1u     1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
A2u     1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000  1.00000  1.00000     ... ..T ..... ......T ......... ..........T .............
B1u     1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000 -1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000  1.00000  1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
B2u     1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000 -1.00000  1.00000 -1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000  1.00000 -1.00000  1.00000     ... ... ..... ....... ......... ........... .............
E1u     2.00000  1.98828  1.95324  1.89531  1.81515  1.71371  1.59219  1.45199  1.29477  1.12237  0.93682  0.74028  0.53506  0.32356  0.10828 -0.10828 -0.32356 -0.53506 -0.74028 -0.93682 -1.12237 -1.29477 -1.45199 -1.59219 -1.71371 -1.81515 -1.89531 -1.95324 -1.98828 -2.00000  0.00000  0.00000 -2.00000  1.98828  1.95324  1.89531  1.81515  1.71371  1.59219  1.45199  1.29477  1.12237  0.93682  0.74028  0.53506  0.32356  0.10828 -0.10828 -0.32356 -0.53506 -0.74028 -0.93682 -1.12237 -1.29477 -1.45199 -1.59219 -1.71371 -1.81515 -1.89531 -1.95324 -1.98828  2.00000  0.00000  0.00000     ... TT. ..... ....TT. ......... ........TT. .............
E2u     2.00000  1.95324  1.81515  1.59219  1.29477  0.93682  0.53506  0.10828 -0.32356 -0.74028 -1.12237 -1.45199 -1.71371 -1.89531 -1.98828 -1.98828 -1.89531 -1.71371 -1.45199 -1.12237 -0.74028 -0.32356  0.10828  0.53506  0.93682  1.29477  1.59219  1.81515  1.95324  2.00000  0.00000  0.00000 -2.00000 -1.95324 -1.81515 -1.59219 -1.29477 -0.93682 -0.53506 -0.10828  0.32356  0.74028  1.12237  1.45199  1.71371  1.89531  1.98828  1.98828  1.89531  1.71371  1.45199  1.12237  0.74028  0.32356 -0.10828 -0.53506 -0.93682 -1.29477 -1.59219 -1.81515 -1.95324 -2.00000  0.00000  0.00000     ... ... ..... ..TT... ......... ......TT... .............
E3u     2.00000  1.89531  1.59219  1.12237  0.53506 -0.10828 -0.74028 -1.29477 -1.71371 -1.95324 -1.98828 -1.81515 -1.45199 -0.93682 -0.32356  0.32356  0.93682  1.45199  1.81515  1.98828  1.95324  1.71371  1.29477  0.74028  0.10828 -0.53506 -1.12237 -1.59219 -1.89531 -2.00000  0.00000  0.00000 -2.00000  1.89531  1.59219  1.12237  0.53506 -0.10828 -0.74028 -1.29477 -1.71371 -1.95324 -1.98828 -1.81515 -1.45199 -0.93682 -0.32356  0.32356  0.93682  1.45199  1.81515  1.98828  1.95324  1.71371  1.29477  0.74028  0.10828 -0.53506 -1.12237 -1.59219 -1.89531  2.00000  0.00000  0.00000     ... ... ..... TT..... ......... ....TT..... .............
E4u     2.00000  1.81515  1.29477  0.53506 -0.32356 -1.12237 -1.71371 -1.98828 -1.89531 -1.45199 -0.74028  0.10828  0.93682  1.59219  1.95324  1.95324  1.59219  0.93682  0.10828 -0.74028 -1.45199 -1.89531 -1.98828 -1.71371 -1.12237 -0.32356  0.53506  1.29477  1.81515  2.00000  0.00000  0.00000 -2.00000 -1.81515 -1.29477 -0.53506  0.32356  1.12237  1.71371  1.98828  1.89531  1.45199  0.74028 -0.10828 -0.93682 -1.59219 -1.95324 -1.95324 -1.59219 -0.93682 -0.10828  0.74028  1.45199  1.89531  1.98828  1.71371  1.12237  0.32356 -0.53506 -1.29477 -1.81515 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ..TT....... .............
E5u     2.00000  1.71371  0.93682 -0.10828 -1.12237 -1.81515 -1.98828 -1.59219 -0.74028  0.32356  1.29477  1.89531  1.95324  1.45199  0.53506 -0.53506 -1.45199 -1.95324 -1.89531 -1.29477 -0.32356  0.74028  1.59219  1.98828  1.81515  1.12237  0.10828 -0.93682 -1.71371 -2.00000  0.00000  0.00000 -2.00000  1.71371  0.93682 -0.10828 -1.12237 -1.81515 -1.98828 -1.59219 -0.74028  0.32356  1.29477  1.89531  1.95324  1.45199  0.53506 -0.53506 -1.45199 -1.95324 -1.89531 -1.29477 -0.32356  0.74028  1.59219  1.98828  1.81515  1.12237  0.10828 -0.93682 -1.71371  2.00000  0.00000  0.00000     ... ... ..... ....... ......... TT......... .............
E6u     2.00000  1.59219  0.53506 -0.74028 -1.71371 -1.98828 -1.45199 -0.32356  0.93682  1.81515  1.95324  1.29477  0.10828 -1.12237 -1.89531 -1.89531 -1.12237  0.10828  1.29477  1.95324  1.81515  0.93682 -0.32356 -1.45199 -1.98828 -1.71371 -0.74028  0.53506  1.59219  2.00000  0.00000  0.00000 -2.00000 -1.59219 -0.53506  0.74028  1.71371  1.98828  1.45199  0.32356 -0.93682 -1.81515 -1.95324 -1.29477 -0.10828  1.12237  1.89531  1.89531  1.12237 -0.10828 -1.29477 -1.95324 -1.81515 -0.93682  0.32356  1.45199  1.98828  1.71371  0.74028 -0.53506 -1.59219 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E7u     2.00000  1.45199  0.10828 -1.29477 -1.98828 -1.59219 -0.32356  1.12237  1.95324  1.71371  0.53506 -0.93682 -1.89531 -1.81515 -0.74028  0.74028  1.81515  1.89531  0.93682 -0.53506 -1.71371 -1.95324 -1.12237  0.32356  1.59219  1.98828  1.29477 -0.10828 -1.45199 -2.00000  0.00000  0.00000 -2.00000  1.45199  0.10828 -1.29477 -1.98828 -1.59219 -0.32356  1.12237  1.95324  1.71371  0.53506 -0.93682 -1.89531 -1.81515 -0.74028  0.74028  1.81515  1.89531  0.93682 -0.53506 -1.71371 -1.95324 -1.12237  0.32356  1.59219  1.98828  1.29477 -0.10828 -1.45199  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E8u     2.00000  1.29477 -0.32356 -1.71371 -1.89531 -0.74028  0.93682  1.95324  1.59219  0.10828 -1.45199 -1.98828 -1.12237  0.53506  1.81515  1.81515  0.53506 -1.12237 -1.98828 -1.45199  0.10828  1.59219  1.95324  0.93682 -0.74028 -1.89531 -1.71371 -0.32356  1.29477  2.00000  0.00000  0.00000 -2.00000 -1.29477  0.32356  1.71371  1.89531  0.74028 -0.93682 -1.95324 -1.59219 -0.10828  1.45199  1.98828  1.12237 -0.53506 -1.81515 -1.81515 -0.53506  1.12237  1.98828  1.45199 -0.10828 -1.59219 -1.95324 -0.93682  0.74028  1.89531  1.71371  0.32356 -1.29477 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E9u     2.00000  1.12237 -0.74028 -1.95324 -1.45199  0.32356  1.81515  1.71371  0.10828 -1.59219 -1.89531 -0.53506  1.29477  1.98828  0.93682 -0.93682 -1.98828 -1.29477  0.53506  1.89531  1.59219 -0.10828 -1.71371 -1.81515 -0.32356  1.45199  1.95324  0.74028 -1.12237 -2.00000  0.00000  0.00000 -2.00000  1.12237 -0.74028 -1.95324 -1.45199  0.32356  1.81515  1.71371  0.10828 -1.59219 -1.89531 -0.53506  1.29477  1.98828  0.93682 -0.93682 -1.98828 -1.29477  0.53506  1.89531  1.59219 -0.10828 -1.71371 -1.81515 -0.32356  1.45199  1.95324  0.74028 -1.12237  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E10u    2.00000  0.93682 -1.12237 -1.98828 -0.74028  1.29477  1.95324  0.53506 -1.45199 -1.89531 -0.32356  1.59219  1.81515  0.10828 -1.71371 -1.71371  0.10828  1.81515  1.59219 -0.32356 -1.89531 -1.45199  0.53506  1.95324  1.29477 -0.74028 -1.98828 -1.12237  0.93682  2.00000  0.00000  0.00000 -2.00000 -0.93682  1.12237  1.98828  0.74028 -1.29477 -1.95324 -0.53506  1.45199  1.89531  0.32356 -1.59219 -1.81515 -0.10828  1.71371  1.71371 -0.10828 -1.81515 -1.59219  0.32356  1.89531  1.45199 -0.53506 -1.95324 -1.29477  0.74028  1.98828  1.12237 -0.93682 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E11u    2.00000  0.74028 -1.45199 -1.81515  0.10828  1.89531  1.29477 -0.93682 -1.98828 -0.53506  1.59219  1.71371 -0.32356 -1.95324 -1.12237  1.12237  1.95324  0.32356 -1.71371 -1.59219  0.53506  1.98828  0.93682 -1.29477 -1.89531 -0.10828  1.81515  1.45199 -0.74028 -2.00000  0.00000  0.00000 -2.00000  0.74028 -1.45199 -1.81515  0.10828  1.89531  1.29477 -0.93682 -1.98828 -0.53506  1.59219  1.71371 -0.32356 -1.95324 -1.12237  1.12237  1.95324  0.32356 -1.71371 -1.59219  0.53506  1.98828  0.93682 -1.29477 -1.89531 -0.10828  1.81515  1.45199 -0.74028  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E12u    2.00000  0.53506 -1.71371 -1.45199  0.93682  1.95324  0.10828 -1.89531 -1.12237  1.29477  1.81515 -0.32356 -1.98828 -0.74028  1.59219  1.59219 -0.74028 -1.98828 -0.32356  1.81515  1.29477 -1.12237 -1.89531  0.10828  1.95324  0.93682 -1.45199 -1.71371  0.53506  2.00000  0.00000  0.00000 -2.00000 -0.53506  1.71371  1.45199 -0.93682 -1.95324 -0.10828  1.89531  1.12237 -1.29477 -1.81515  0.32356  1.98828  0.74028 -1.59219 -1.59219  0.74028  1.98828  0.32356 -1.81515 -1.29477  1.12237  1.89531 -0.10828 -1.95324 -0.93682  1.45199  1.71371 -0.53506 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E13u    2.00000  0.32356 -1.89531 -0.93682  1.59219  1.45199 -1.12237 -1.81515  0.53506  1.98828  0.10828 -1.95324 -0.74028  1.71371  1.29477 -1.29477 -1.71371  0.74028  1.95324 -0.10828 -1.98828 -0.53506  1.81515  1.12237 -1.45199 -1.59219  0.93682  1.89531 -0.32356 -2.00000  0.00000  0.00000 -2.00000  0.32356 -1.89531 -0.93682  1.59219  1.45199 -1.12237 -1.81515  0.53506  1.98828  0.10828 -1.95324 -0.74028  1.71371  1.29477 -1.29477 -1.71371  0.74028  1.95324 -0.10828 -1.98828 -0.53506  1.81515  1.12237 -1.45199 -1.59219  0.93682  1.89531 -0.32356  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E14u    2.00000  0.10828 -1.98828 -0.32356  1.95324  0.53506 -1.89531 -0.74028  1.81515  0.93682 -1.71371 -1.12237  1.59219  1.29477 -1.45199 -1.45199  1.29477  1.59219 -1.12237 -1.71371  0.93682  1.81515 -0.74028 -1.89531  0.53506  1.95324 -0.32356 -1.98828  0.10828  2.00000  0.00000  0.00000 -2.00000 -0.10828  1.98828  0.32356 -1.95324 -0.53506  1.89531  0.74028 -1.81515 -0.93682  1.71371  1.12237 -1.59219 -1.29477  1.45199  1.45199 -1.29477 -1.59219  1.12237  1.71371 -0.93682 -1.81515  0.74028  1.89531 -0.53506 -1.95324  0.32356  1.98828 -0.10828 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E15u    2.00000 -0.10828 -1.98828  0.32356  1.95324 -0.53506 -1.89531  0.74028  1.81515 -0.93682 -1.71371  1.12237  1.59219 -1.29477 -1.45199  1.45199  1.29477 -1.59219 -1.12237  1.71371  0.93682 -1.81515 -0.74028  1.89531  0.53506 -1.95324 -0.32356  1.98828  0.10828 -2.00000  0.00000  0.00000 -2.00000 -0.10828 -1.98828  0.32356  1.95324 -0.53506 -1.89531  0.74028  1.81515 -0.93682 -1.71371  1.12237  1.59219 -1.29477 -1.45199  1.45199  1.29477 -1.59219 -1.12237  1.71371  0.93682 -1.81515 -0.74028  1.89531  0.53506 -1.95324 -0.32356  1.98828  0.10828  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E16u    2.00000 -0.32356 -1.89531  0.93682  1.59219 -1.45199 -1.12237  1.81515  0.53506 -1.98828  0.10828  1.95324 -0.74028 -1.71371  1.29477  1.29477 -1.71371 -0.74028  1.95324  0.10828 -1.98828  0.53506  1.81515 -1.12237 -1.45199  1.59219  0.93682 -1.89531 -0.32356  2.00000  0.00000  0.00000 -2.00000  0.32356  1.89531 -0.93682 -1.59219  1.45199  1.12237 -1.81515 -0.53506  1.98828 -0.10828 -1.95324  0.74028  1.71371 -1.29477 -1.29477  1.71371  0.74028 -1.95324 -0.10828  1.98828 -0.53506 -1.81515  1.12237  1.45199 -1.59219 -0.93682  1.89531  0.32356 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E17u    2.00000 -0.53506 -1.71371  1.45199  0.93682 -1.95324  0.10828  1.89531 -1.12237 -1.29477  1.81515  0.32356 -1.98828  0.74028  1.59219 -1.59219 -0.74028  1.98828 -0.32356 -1.81515  1.29477  1.12237 -1.89531 -0.10828  1.95324 -0.93682 -1.45199  1.71371  0.53506 -2.00000  0.00000  0.00000 -2.00000 -0.53506 -1.71371  1.45199  0.93682 -1.95324  0.10828  1.89531 -1.12237 -1.29477  1.81515  0.32356 -1.98828  0.74028  1.59219 -1.59219 -0.74028  1.98828 -0.32356 -1.81515  1.29477  1.12237 -1.89531 -0.10828  1.95324 -0.93682 -1.45199  1.71371  0.53506  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E18u    2.00000 -0.74028 -1.45199  1.81515  0.10828 -1.89531  1.29477  0.93682 -1.98828  0.53506  1.59219 -1.71371 -0.32356  1.95324 -1.12237 -1.12237  1.95324 -0.32356 -1.71371  1.59219  0.53506 -1.98828  0.93682  1.29477 -1.89531  0.10828  1.81515 -1.45199 -0.74028  2.00000  0.00000  0.00000 -2.00000  0.74028  1.45199 -1.81515 -0.10828  1.89531 -1.29477 -0.93682  1.98828 -0.53506 -1.59219  1.71371  0.32356 -1.95324  1.12237  1.12237 -1.95324  0.32356  1.71371 -1.59219 -0.53506  1.98828 -0.93682 -1.29477  1.89531 -0.10828 -1.81515  1.45199  0.74028 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E19u    2.00000 -0.93682 -1.12237  1.98828 -0.74028 -1.29477  1.95324 -0.53506 -1.45199  1.89531 -0.32356 -1.59219  1.81515 -0.10828 -1.71371  1.71371  0.10828 -1.81515  1.59219  0.32356 -1.89531  1.45199  0.53506 -1.95324  1.29477  0.74028 -1.98828  1.12237  0.93682 -2.00000  0.00000  0.00000 -2.00000 -0.93682 -1.12237  1.98828 -0.74028 -1.29477  1.95324 -0.53506 -1.45199  1.89531 -0.32356 -1.59219  1.81515 -0.10828 -1.71371  1.71371  0.10828 -1.81515  1.59219  0.32356 -1.89531  1.45199  0.53506 -1.95324  1.29477  0.74028 -1.98828  1.12237  0.93682  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E20u    2.00000 -1.12237 -0.74028  1.95324 -1.45199 -0.32356  1.81515 -1.71371  0.10828  1.59219 -1.89531  0.53506  1.29477 -1.98828  0.93682  0.93682 -1.98828  1.29477  0.53506 -1.89531  1.59219  0.10828 -1.71371  1.81515 -0.32356 -1.45199  1.95324 -0.74028 -1.12237  2.00000  0.00000  0.00000 -2.00000  1.12237  0.74028 -1.95324  1.45199  0.32356 -1.81515  1.71371 -0.10828 -1.59219  1.89531 -0.53506 -1.29477  1.98828 -0.93682 -0.93682  1.98828 -1.29477 -0.53506  1.89531 -1.59219 -0.10828  1.71371 -1.81515  0.32356  1.45199 -1.95324  0.74028  1.12237 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E21u    2.00000 -1.29477 -0.32356  1.71371 -1.89531  0.74028  0.93682 -1.95324  1.59219 -0.10828 -1.45199  1.98828 -1.12237 -0.53506  1.81515 -1.81515  0.53506  1.12237 -1.98828  1.45199  0.10828 -1.59219  1.95324 -0.93682 -0.74028  1.89531 -1.71371  0.32356  1.29477 -2.00000  0.00000  0.00000 -2.00000 -1.29477 -0.32356  1.71371 -1.89531  0.74028  0.93682 -1.95324  1.59219 -0.10828 -1.45199  1.98828 -1.12237 -0.53506  1.81515 -1.81515  0.53506  1.12237 -1.98828  1.45199  0.10828 -1.59219  1.95324 -0.93682 -0.74028  1.89531 -1.71371  0.32356  1.29477  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E22u    2.00000 -1.45199  0.10828  1.29477 -1.98828  1.59219 -0.32356 -1.12237  1.95324 -1.71371  0.53506  0.93682 -1.89531  1.81515 -0.74028 -0.74028  1.81515 -1.89531  0.93682  0.53506 -1.71371  1.95324 -1.12237 -0.32356  1.59219 -1.98828  1.29477  0.10828 -1.45199  2.00000  0.00000  0.00000 -2.00000  1.45199 -0.10828 -1.29477  1.98828 -1.59219  0.32356  1.12237 -1.95324  1.71371 -0.53506 -0.93682  1.89531 -1.81515  0.74028  0.74028 -1.81515  1.89531 -0.93682 -0.53506  1.71371 -1.95324  1.12237  0.32356 -1.59219  1.98828 -1.29477 -0.10828  1.45199 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E23u    2.00000 -1.59219  0.53506  0.74028 -1.71371  1.98828 -1.45199  0.32356  0.93682 -1.81515  1.95324 -1.29477  0.10828  1.12237 -1.89531  1.89531 -1.12237 -0.10828  1.29477 -1.95324  1.81515 -0.93682 -0.32356  1.45199 -1.98828  1.71371 -0.74028 -0.53506  1.59219 -2.00000  0.00000  0.00000 -2.00000 -1.59219  0.53506  0.74028 -1.71371  1.98828 -1.45199  0.32356  0.93682 -1.81515  1.95324 -1.29477  0.10828  1.12237 -1.89531  1.89531 -1.12237 -0.10828  1.29477 -1.95324  1.81515 -0.93682 -0.32356  1.45199 -1.98828  1.71371 -0.74028 -0.53506  1.59219  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E24u    2.00000 -1.71371  0.93682  0.10828 -1.12237  1.81515 -1.98828  1.59219 -0.74028 -0.32356  1.29477 -1.89531  1.95324 -1.45199  0.53506  0.53506 -1.45199  1.95324 -1.89531  1.29477 -0.32356 -0.74028  1.59219 -1.98828  1.81515 -1.12237  0.10828  0.93682 -1.71371  2.00000  0.00000  0.00000 -2.00000  1.71371 -0.93682 -0.10828  1.12237 -1.81515  1.98828 -1.59219  0.74028  0.32356 -1.29477  1.89531 -1.95324  1.45199 -0.53506 -0.53506  1.45199 -1.95324  1.89531 -1.29477  0.32356  0.74028 -1.59219  1.98828 -1.81515  1.12237 -0.10828 -0.93682  1.71371 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E25u    2.00000 -1.81515  1.29477 -0.53506 -0.32356  1.12237 -1.71371  1.98828 -1.89531  1.45199 -0.74028 -0.10828  0.93682 -1.59219  1.95324 -1.95324  1.59219 -0.93682  0.10828  0.74028 -1.45199  1.89531 -1.98828  1.71371 -1.12237  0.32356  0.53506 -1.29477  1.81515 -2.00000  0.00000  0.00000 -2.00000 -1.81515  1.29477 -0.53506 -0.32356  1.12237 -1.71371  1.98828 -1.89531  1.45199 -0.74028 -0.10828  0.93682 -1.59219  1.95324 -1.95324  1.59219 -0.93682  0.10828  0.74028 -1.45199  1.89531 -1.98828  1.71371 -1.12237  0.32356  0.53506 -1.29477  1.81515  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E26u    2.00000 -1.89531  1.59219 -1.12237  0.53506  0.10828 -0.74028  1.29477 -1.71371  1.95324 -1.98828  1.81515 -1.45199  0.93682 -0.32356 -0.32356  0.93682 -1.45199  1.81515 -1.98828  1.95324 -1.71371  1.29477 -0.74028  0.10828  0.53506 -1.12237  1.59219 -1.89531  2.00000  0.00000  0.00000 -2.00000  1.89531 -1.59219  1.12237 -0.53506 -0.10828  0.74028 -1.29477  1.71371 -1.95324  1.98828 -1.81515  1.45199 -0.93682  0.32356  0.32356 -0.93682  1.45199 -1.81515  1.98828 -1.95324  1.71371 -1.29477  0.74028 -0.10828 -0.53506  1.12237 -1.59219  1.89531 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E27u    2.00000 -1.95324  1.81515 -1.59219  1.29477 -0.93682  0.53506 -0.10828 -0.32356  0.74028 -1.12237  1.45199 -1.71371  1.89531 -1.98828  1.98828 -1.89531  1.71371 -1.45199  1.12237 -0.74028  0.32356  0.10828 -0.53506  0.93682 -1.29477  1.59219 -1.81515  1.95324 -2.00000  0.00000  0.00000 -2.00000 -1.95324  1.81515 -1.59219  1.29477 -0.93682  0.53506 -0.10828 -0.32356  0.74028 -1.12237  1.45199 -1.71371  1.89531 -1.98828  1.98828 -1.89531  1.71371 -1.45199  1.12237 -0.74028  0.32356  0.10828 -0.53506  0.93682 -1.29477  1.59219 -1.81515  1.95324  2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............
E28u    2.00000 -1.98828  1.95324 -1.89531  1.81515 -1.71371  1.59219 -1.45199  1.29477 -1.12237  0.93682 -0.74028  0.53506 -0.32356  0.10828  0.10828 -0.32356  0.53506 -0.74028  0.93682 -1.12237  1.29477 -1.45199  1.59219 -1.71371  1.81515 -1.89531  1.95324 -1.98828  2.00000  0.00000  0.00000 -2.00000  1.98828 -1.95324  1.89531 -1.81515  1.71371 -1.59219  1.45199 -1.29477  1.12237 -0.93682  0.74028 -0.53506  0.32356 -0.10828 -0.10828  0.32356 -0.53506  0.74028 -0.93682  1.12237 -1.29477  1.45199 -1.59219  1.71371 -1.81515  1.89531 -1.95324  1.98828 -2.00000  0.00000  0.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.988275914309 = 2*cos(2*π/58) = 2*cos(π/29)
                               1.953241111420 = 2*cos(4*π/58) = 2*cos(2*π/29)
                               1.895306342366 = 2*cos(6*π/58) = 2*cos(3*π/29)
                               1.815150839342 = 2*cos(8*π/58) = 2*cos(4*π/29)
                               1.713714352335 = 2*cos(10*π/58) = 2*cos(5*π/29)
                               1.592186131411 = 2*cos(12*π/58) = 2*cos(6*π/29)
                               1.451990983846 = 2*cos(14*π/58) = 2*cos(7*π/29)
                               1.294772569564 = 2*cos(16*π/58) = 2*cos(8*π/29)
                               1.122374130725 = 2*cos(18*π/58) = 2*cos(9*π/29)
                               0.936816881400 = 2*cos(20*π/58) = 2*cos(10*π/29)
                               0.740276310680 = 2*cos(22*π/58) = 2*cos(11*π/29)
                               0.535056677058 = 2*cos(24*π/58) = 2*cos(12*π/29)
                               0.323563993106 = 2*cos(26*π/58) = 2*cos(13*π/29)
                               0.108277817171 = 2*cos(28*π/58) = 2*cos(14*π/29)



 Symmetry of Rotations and Cartesian products

A1g  d+g+i+k+m    z2, z4, z6 
A2g  R            Rz 
E1g  R+d+g+i+k+m  {Rx, Ry}, {xz, yz}, {xz3, yz3}, {xz5, yz5} 
E2g  d+g+i+k+m    {x2y2, xy}, {z2(x2y2), xyz2}, {z4(x2y2), xyz4} 
E3g  g+i+k+m      {xz(x2−3y2), yz(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E4g  g+i+k+m      {(x2y2)2−4x2y2, xy(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E5g  i+k+m        {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E6g  i+k+m        {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E7g  k+m 
E8g  k+m 
E9g  m 
E10g m 
A2u  p+f+h+j+l    z, z3, z5 
E1u  p+f+h+j+l    {x, y}, {xz2, yz2}, {xz4, yz4} 
E2u  f+h+j+l      {z(x2y2), xyz}, {z3(x2y2), xyz3} 
E3u  f+h+j+l      {x(x2−3y2), y(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)} 
E4u  h+j+l        {z((x2y2)2−4x2y2), xyz(x2y2)} 
E5u  h+j+l        {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)} 
E6u  j+l 
E7u  j+l 
E8u  l 
E9u  l 

 Notes:

    α  The order of the D58h point group is 232, and the order of the principal axis (C58) is 58. The group has 64 irreducible representations.

    β  The D58h point group is generated by three symmetry elements that are canonically chosen C58, C2 and i.
       Other choices include σh instead of i, or any of C2, σv or σd instead of C2. Also, some ternary combinations of C2, C2, σv and σd act as generators.
       Lastly, the S58 can be chosen, together with σh or C2 and any one of C2, C2, σv or σd.

    γ  There are two different sets of twofold symmetry axes perpendicular to the principal axis (z axis in standard orientation).
       By convention, the set denoted as C2 has the x axis as a member, while the y axis is a member of the C2 set.

    δ  There are two different sets of symmetry planes containing the principal axis (z axis in standard orientation).
       By convention, the set denoted as σv has the xz plane as a member, while the yz plane is a member of the σd set.

    ε  The lowest nonvanishing multipole moment in D58h is 4 (quadrupole moment).

    ζ  This point group is non-Abelian (some symmetry operations are not commutative).
       Therefore, the character table contains multi-membered classes and degenerate irreducible representations.

    η  Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6.
       These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1.
       All characters are algebraic integers of a degree much less than half the order of the principal axis.
       For this group, however, none of the irrational characters can be expressed by a closed algebraic form using real numbers only.

This Character Table for the D58h point group was created by Gernot Katzer.

For other groups and some explanations, see the Main Page.